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93144038340 = 22357921193131
BaseRepresentation
bin101011010111111010…
…0010011101111000100
322220102100221101220210
41112233310103233010
53011224333211330
6110442331555420
76505124156043
oct1265764235704
9286370841823
1093144038340
1136558421691
12160758bbb70
138a252c8cb2
1447186ba55a
1526523c38b0
hex15afd13bc4

93144038340 has 96 divisors (see below), whose sum is σ = 265359144960. Its totient is φ = 24407510400.

The previous prime is 93144038321. The next prime is 93144038341. The reversal of 93144038340 is 4383044139.

It is not an unprimeable number, because it can be changed into a prime (93144038341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953575 + ... + 1046705.

It is an arithmetic number, because the mean of its divisors is an integer number (2764157760).

Almost surely, 293144038340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93144038340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132679572480).

93144038340 is an abundant number, since it is smaller than the sum of its proper divisors (172215106620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93144038340 is a wasteful number, since it uses less digits than its factorization.

93144038340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93433 (or 93431 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 93144038340 in words is "ninety-three billion, one hundred forty-four million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 211 237 316 395 422 474 633 790 844 948 1055 1185 1266 1580 2110 2370 2532 3165 4220 4740 6330 12660 16669 33338 50007 66676 83345 93131 100014 166690 186262 200028 250035 279393 333380 372524 465655 500070 558786 931310 1000140 1117572 1396965 1862620 2793930 5587860 7357349 14714698 19650641 22072047 29429396 36786745 39301282 44144094 58951923 73573490 78602564 88288188 98253205 110360235 117903846 147146980 196506410 220720470 235807692 294759615 393012820 441440940 589519230 1179038460 1552400639 3104801278 4657201917 6209602556 7762003195 9314403834 15524006390 18628807668 23286009585 31048012780 46572019170 93144038340